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Simplifying 4x3y + -20x2y2 + -56xy3 = 0 Reorder the terms: -56xy3 + -20x2y2 + 4x3y = 0 Solving -56xy3 + -20x2y2 + 4x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(-14y2 + -5xy + x2) = 0 Factor a trinomial. 4xy((-2y + -1x)(7y + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2y + -1x)' equal to zero and attempt to solve: Simplifying -2y + -1x = 0 Reorder the terms: -1x + -2y = 0 Solving -1x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -1x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = 0 + 2y -1x = 0 + 2y Remove the zero: -1x = 2y Divide each side by '-1'. x = -2y Simplifying x = -2ySubproblem 3
Set the factor '(7y + -1x)' equal to zero and attempt to solve: Simplifying 7y + -1x = 0 Reorder the terms: -1x + 7y = 0 Solving -1x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -1x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -1x + 0 = 0 + -7y -1x = 0 + -7y Remove the zero: -1x = -7y Divide each side by '-1'. x = 7y Simplifying x = 7ySolution
x = {-2y, 7y}
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